Abstract
The paper is devoted to the analysis of a hydrodynamic limit for the Vlasov-Navier-Stokes equations. This system is intended to model the evolution of particles interacting with a fluid. The coupling arises from the force terms. The limit problem consists of an advection-diffusion equation for the macroscopic density of the particles, the drift velocity being solution of the incompressible Navier-Stokes equation.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1495-1515 |
| Number of pages | 21 |
| Journal | Indiana University Mathematics Journal |
| Volume | 53 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2004 |
All Science Journal Classification (ASJC) codes
- General Mathematics
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